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Supersymmetry for integrable hierarchies on loop superalgebras

H. Aratyn·J. F. Gomes·G. M. de Castro·M. B. Silka·A. H. Zimerman
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Abstract

The algebraic approach is employed to formulate N=2 supersymmetry transformations in the context of integrable systems based on loop superalgebras $\hat{\rm sl}(p+1,p), p \ge 1$ with homogeneous gradation. We work with extended integrable hierarchies, which contain supersymmetric AKNS and Lund-Regge sectors. We derive the one-soliton solution for $p=1$ which solves positive and negative evolution equations of the N=2 supersymmetric model.

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H. Aratyn, J. F. Gomes, G. M. de Castro, M. B. Silka, A. H. Zimerman. 2005-08-01. Supersymmetry for integrable hierarchies on loop superalgebras. https://doi.org/10.1088/0305-4470%2F38%2F42%2F012

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